Ceramic engineering could be a branch of engineering which deals with the science and technology of making object from inorganic and non-metallic materials. the employment of ceramic material is on the increase because it a low-cost and efficient material. Ceramic engineering is required right from the assembly of ceramic teeth, bones, and other fibre optic cables used for surgery to ceramic superconductors, lasers, etc. because the applications of Ceramic material is expanded tremendously because of the recent advances within the field of drugs which include bio-ceramics and other, ceramic engineering could be a booming field. Develops procedure for processing non-metallic inorganic materials into various ceramic products like fibre optics products, glassware, coating for space vehicles, pollution control devices, components of fuel, etc. Does research, development, production of ceramic products in line with the necessities. Also develop heat tiles for space shuttles and supersonic space planes. Produce ceramic teeth, bones and joints as replacements parts for the frame. The importance of materials in present time is realized from the actual fact that much of the research is being done to use new materials to different components. However it's natural for a design engineer to depend upon trusted and tested materials, but now the globe is changing .Today composite materials have changed all the fabric engineering. The evolution of composite materials has given a chance to various designers to use new and better materials leading to cost reduction, increase in efficiency and better utilization of available resources. Composite materials are finding their applications in aerospace industry, automobile sector, manufacturing industries etc. This paper presents design method and vibrational analysis of composite propeller shafts. during this paper, the aim is to exchange a metallic drive shaft by a two-piece composite drive shaft. Designing of a composite drive shaft is split in two main sections: design of the composite shaft and style of couplings.